论hopf Galois hirata扩展

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI:10.1155/S0161171203303357

G. Szeto, L. Xue

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引用次数: 0

摘要

设H是域K上的有限维Hopf代数，H*是H的对偶Hopf代数，B是BH的右H*-伽罗瓦和Hirata可分扩展。然后用B中BH的换向子VB(BH)和粉碎积VB(BH)#H对B进行表征。给出了B是BH的H*-Galois Azumaya扩展的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON HOPF GALOIS HIRATA EXTENSIONS

Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB(BH)#H. A sufficient condition is also given for B to be an H*-Galois Azumaya extension of BH.

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.